A conservation law in quantum cellular automata
type: Item
instance of: scholarly article
title: A conservation law in quantum cellular automata
zbMATH Open document ID: 0644.68079
DOI: 10.1016/0167-2789(88)90014-0
author: Gerhard Grössing
author: Anton Zeilinger
published in: Physica D
publication date: 1988-01-01T00:00:00Z
review text: In the present study we identify various general features governing the evolution of quantum cellular automata which have been introduced as a means of extending general systems theory into the quantum domain. It is found that a conservation law connects the strength of the mixing of locally interacting states and the periodicity of the large-scale (global) structures which develop during the evolution of quantum cellular automata. Moreover, for a large class of quantum cellular automata, the global patterns exhibit irreversible behavior.
Mathematics Subject Classification ID: 68Q80
Mathematics Subject Classification ID: 92D15
zbMATH DE Number: 4051009
zbMATH Keywords: conservation law
zbMATH Keywords: evolution
zbMATH Keywords: quantum cellular automata
MaRDI profile type: Publication
full work available at URL: 0167-2789(88)90014-0
OpenAlex ID: W2065644872
cites work: Statistical mechanics of cellular automata
cites work: Q3811713
description: scientific article; zbMATH DE number 4051009